Description 
1 online resource (xv, 699 pages) 
Series 
Studies in systems, decision and control ; Volume 200 

Studies in systems, decision and control ; v. 200.

Contents 
Intro; Preface; Contents; Contributors; On the Reynolds Equation and the Load Problem in Lubrication: Literature Review and Mathematical Modelling; 1 On the Beginning of the Theory of Hydrodynamic Lubrication; 2 On Misalignment and Cavitation in Journal Bearings; 3 The Inverse Problem. Its Numerical Resolution; 4 Other Topics; 5 Fluid Film Thickness; 5.1 Parallel Case; 5.2 Misaligned Case; 6 Derivation of the Reynolds Equation; 7 The Reynolds Cavitation Model; 7.1 The Nondimensional Reynolds Cavitation Model; 8 Derivation of the Generalized Reynolds Equation 

9 Simplifications to the GRE for Journal Bearings9.1 The Nondimensional GRE for Journal Bearings; 10 The ElrodAdams Cavitation Model; 10.1 Deduction of the Flow Continuity Condition Through the Free Boundary; 11 Weak Formulation of the ElrodAdams Cavitation Model; 12 Shaft Stationary Model; References; On Dynamic Interactions Between Body Motion and Fluid Motion; 1 Introduction; 2 The Models; 2.1 Bodies in a Channel Flow; 2.2 A Skimming Body; 2.3 Preliftoff of a Body From a Solid Surface; 2.4 ViscousInviscid Effects; 3 Skimming by a Smooth Body; 3.1 Impact Model 

3.2 Linearised Impact Model and Rapid Transition to Planing Motion3.3 Planing Model; 3.4 Linearised Planing Model; 4 Postliftoff and FlyAway of a Body from a Surface; 4.1 Governing Equations and the Parameters; 4.2 SmallTime Behaviour; 4.3 LiftOff Criterion; 4.4 LargeTime Behaviour; 4.5 Summary; 5 Many Bodies in Slightly Viscous Fluid; 5.1 A Single Plate; 5.2 A Finite Collection of Plates; 5.3 The Case of Two Plates; 6 Further Comments; References; Certain Aspects of Problems with Non Homogeneous Reactions; 1 Introduction; 2 Steady Problems; 3 Evolution Problems 

3.1 Lyapunov Functions and Stability4 A Particular Type of Solution: Traveling Waves; 5 A Particular Planar System from Chemical Reactors; 6 Final Comments; References; A Survey on the Melnikov Theory for Implicit Ordinary Differential Equations with Applications to RLC Circuits; 1 Introduction; 2 Nonlinear RLC Circuits: Homoclinic Case; 3 Nonlinear RLC Circuits: Heteroclinic Case; 4 Weakly Coupled Nonlinear RLC Circuits; 5 General Dimensional IODEs; 6 Blue SkyLike Catastrophe for Reversible IODEs; 7 Connecting IK Singularities and Impasse Points 

7.1 Connecting Impasse Points with IKsingularities7.2 Connecting Two Impasse Points; 7.3 Fully Nonlinear RLC Circuits; 8 Conclusions; References; Numerical Solution of SpaceTime Fractional ReactionDiffusion Equations via the Caputo and Riesz Derivatives; 1 Introduction; 2 Basic Properties and Definitions of Fractional Calculus; 3 The Caputo and Riesz Fractional Derivatives Approximation; 3.1 The Matrix Method; 3.2 The Caputo Derivative Approximation; 3.3 The Riesz Derivative Approximation; 3.4 TwoDimensional Solution with Laplace and Fourier Transforms; 4 Numerical Experiments 
Summary 
This book presents several aspects of research on mathematics that have significant applications in engineering, modelling and social matters, discussing a number of current and future social issues and problems in which mathematical tools can be beneficial. Each chapter enhances our understanding of the research problems in a particular an area of study and highlights the latest advances made in that area. The selfcontained contributions make the results and problems discussed accessible to readers, and provides references to enable those interested to follow subsequent studies in still developing fields. Presenting realworld applications, the book is a valuable resource for graduate students, researchers and educators. It appeals to general readers curious about the practical applications of mathematics in diverse scientific areas and social problems 
Bibliography 
Includes bibliographical references 
Notes 
Print version record 
Subject 
Engineering mathematics.


Engineering mathematics  Social aspects


TECHNOLOGY & ENGINEERING  Engineering (General)


TECHNOLOGY & ENGINEERING  Reference.


Engineering mathematics

Form 
Electronic book

Author 
Smith, F. T. (Frank T.), 1948 editor.


Dutta, Hemen, 1981 editor.


Mordeson, John N., editor.

ISBN 
9783030122324 

3030122328 
